Formal Concept Analysis: Mathematical Foundations - Softcover

Inhaltsangabe

0. Order-theoretic Foundations.- 0.1 Ordered Sets.- 0.2 Complete Lattices.- 0.3 Closure Operators.- 0.4 Galois Connections.- 0.5 Hints and References.- 1. Concept Lattices of Contexts.- 1.1 Context and Concept.- 1.2 Context and Concept Lattice.- 1.3 Many-valued Contexts.- 1.4 Context Constructions and Standard Scales.- 1.5 Hints and References.- 2. Determination and Representation.- 2.1 All Concepts of a Context.- 2.2 Diagrams.- 2.3 Implications between Attributes.- 2.4 Dependencies between Attributes.- 2.5 Hints and References.- 3. Parts and Factors.- 3.1 Subcontexts.- 3.2 Complete Congruences.- 3.3 Closed Subrelations.- 3.4 Block Relations and Tolerances.- 3.5 Hints and References.- 4. Decompositions of Concept Lattices.- 4.1 Subdirect Decompositions.- 4.2 Atlas-decompositions.- 4.3 Substitution.- 4.4 Tensorial Decompositions.- 4.5 Hints and References.- 5. Constructions of Concept Lattices.- 5.1 Subdirect Product Constructions.- 5.2 Gluings.- 5.3 Local Doubling.- 5.4 Tensorial Constructions.- 5.5 Hints and References.- 6. Properties of Concept Lattices.- 6.1 Distributivity.- 6.2 Semimodularity and Modularity.- 6.3 Semidistributivity and Local Distributivity.- 6.4 Dimension.- 6.5 Hints and References.- 7. Context Comparison and Conceptual Measurability.- 7.1 Automorphisms of Contexts.- 7.2 Morphisms and Bonds.- 7.3 Scale Measures.- 7.4 Measurability Theorems.- 7.5 Hints and References.- References.

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